Answer:
The fourth term of given geometric sequence is 5/9
Step-by-step explanation:
The general formula for geometric sequence is given by:
[tex]a_n = a_1.r^{(n-1)}[/tex]
Here a_n is the nth term,
a_1 is the first term
and r is the common ratio.
It is given in the question that
[tex]a_1 = 15\\r = \frac{1}{3}[/tex]
Putting these values
[tex]a_n = 15 . (\frac{1}{3})^{n-1}[/tex]
For 4th term, we will put n=4
So,
[tex]a_4 = 15 . (\frac{1}{3})^{4-1}\\a_4 = 15 . (\frac{1}{3})^3\\a_4 = 15 . \frac{1}{27}\\a_4 = \frac{15}{27}\\a_4 = \frac{5}{9}[/tex]
Hence,
The fourth term of given geometric sequence is 5/9
SOS HURRY 25 POINTS
A small business reported profits of 135% of the previous month's profit. If they profited $5,000 this month, then how much did they profit last month?
Answer:
5,000 / 1.35= 3,703.70 is last months profit
Step-by-step explanation:
I hope this helps :)
what is the sign of f on the interval -5
Answer:
f(x) = x3 - 3x + 1
f'(x) = 3x2 - 3 = 3(x2 - 1) = 3(x+1)(x-1)
Find the critical numbers: set f'(x) = 0
3(x+1)(x-1) = 0 x = 1, -1
Check the sign of f'(x) on either side of each critical number. If f'(x) is positive on an interval, then f is increasing on the interval. If f'(x) is negative on an interval, then f is decreasing on the interval.
+ l - l + sign f'(x)
-------------------------------------
-1 1
f is increasing on (-∞, -1) υ (1, ∞)
f is decreasing on (-1, 1)
Which expression is equivalent to 3x + 6
Answer:
3x + 6 is equal to x + 2
Step-by-step explanation:
Answer: 3( x + 2)
Step-by-step explanation:
6
3x+6
3(x+2)
Sven has 11 more than twice as many costumers as when started selling newspapers
He now has 73 customers.How many did he have when he started ?
Answer:31
Step-by-step explanation:
You take 73 and subtract 11 and get 62 then divide it by 2 and you get 31
Points T and D are located on a number line. Point T has coordinate negative 4 and point D has coordinate 8.
Find the length of T D
Answer:
12 units?
Step-by-step explanation:
Given: f(x) = 1/x+5 and g(x) = x - 2.
What are the restrictiorts of the domain of f(g(x))?
0 x4 -5
O X-3
OX= 2
There are no restrictions.
Answer:
The restriction of the domain of f(g(x)) is that x cannot be 3.
Step-by-step explanation:
The first step to solve this question is finding the function, replacing the values. So
[tex]f(x) = \frac{1}{x+5}[/tex]
[tex]g(x) = x - 2[/tex]
[tex]f(g(x)) = f(x - 2) = \frac{1}{x - 2 + 5} = \frac{1}{x - 3}[/tex]
The function is a fraction, which means that the restriction is that the denominator cannot be zero. So
[tex]x - 3 \neq 0[/tex]
[tex]x \neq 3[/tex]
The restriction of the domain of f(g(x)) is that x cannot be 3.
Find the indicated term of each arithmetic sequence. 27th term: 59, 56, 53, 50....
Answer:
The 27th term is -22
Step-by-step explanation:
So we know 59 is the first term
and for every term, its -3
So multiply -3 by 27= -81
59-81
-22
Scale 1 in=8 feet
So 1.24 in =
Answer:
9.92 feet or 9 feet 11 1/16 inches
Step-by-step explanation:
1.24X8 feet=9.92 feet or 9 feet 11 1/16 inches
Solve:
3 (x + 4) - 5 (x - 1) < 5
Answer:
x＞6
Step-by-step explanation:
-2x+17＜5
2x＞12
x＞6
Select all the intervals where f is decreasing
One Answer: Choice C) 0 < x < 1
==================================================
Explanation:
Let's go through the answer choices one at a time.
Choice A represents an increasing interval since the graph goes uphill as we move from left to right. The line through the points (-2, f(-2)) and (-1.5, f(-1.5)) has a positive slope. We can rule out choice A.Choice B is a similar story to choice A. The graph goes uphill when we move from x = -1 to x = 0, so the graph is increasing on the interval -1 < x < 0. We can rule out choice B.In contrast, choice C is a decreasing interval. Going from x = 0 to x = 1 has us move downhill. Choice C is the only answer.Choice D is false because choice C was shown to be true.The correct option is C
What is a decreasing function?A function whose value decreases as the independent variable increases over a given range is called a decreasing function.
Considering the options :
A) it represents an increasing interval since the graph goes uphill as we move from left to right. The line through the points (-2, f(-2)) and (-1.5, f(-1.5)) has a positive slope. We can rule out choice A.
B) It is a similar story to choice A. The graph goes uphill when we move from x = -1 to x = 0, so the graph is increasing on the interval -1 < x < 0. We can rule out choice B.
In contrast, C is a decreasing interval. Going from x = 0 to x = 1 has us move downhill. Choice C is the only answer.
Hence, the correct option is 0 < x < 1
Learn more about decreasing function, click;
https://brainly.com/question/14330051
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Find the ordered pair that represents the vector from A(9,2) to B(-6,3). Then find the magnitude of AB
2a - 3b = -11
a + 3b = 8
Answer:
b = 3 and a = -1
Step-by-step explanation:
You have your given equation:
2a - 3b = -11
a + 3b = 8
You need to find what a and b is.
To find b:
2a - 3b = -11
-2a - 6b = -16
I multiplied a + 3b = 8 by -2. When you multiply a number you have to multiply all of them. You have to choose a number that would cancel out all of a.
So now your equation would look like this when you solve for b:
2a - 3b = -11
-2a - 6b = -16
-------------------
a - 9 = -27 then you divide -9 to -27 which is 3 so b = 3.
To find a:
2a - 3b = -11
a + 3b = 8
I multiplied a + 3b = 8 by -1 and 2a - 3b = -11 by -1 as well.
Your equation will look like this when you solve for a:
-2a + 3b = 11
-1a - 3b = -8
------------------
-3a = 3 then divide -3 to 3 which is -1 so a = -1.
Check to see if you have the correct answer by plugging in the number you got for a and b into the equation and solve.
1. 2(-1) -3(3) = -11
-2 - 9 = -11
2. -1 + 3(3) = 8
-1 + 9 = 8
Express this rate as a unit rate: $50 for 4 days of work. Note: You must label your unit rate.
Answer:
12.50 dollars per day
Step-by-step explanation:
This is a fraction equal to
50 dollars ÷ 4 days
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 4
50 dollars ÷ 4
4 days ÷ 4
=
12.5 dollars
1 day
=
12.5 dollars
day
= 12.5 dollars per day
Directions: Match the product and quotients estimates below with the correct expression on the left
35 x 23
132168
173 X 18.4
999 208
998 x 211
11 10x20 170x180
11100020
11 1303170
11 1000 210
Answer:
Answer is in attached image.
Step-by-step explanation:
Given the expressions, for which we have to find the estimates as per the expressions on the left.
The given expressions are:
1) 35 [tex]\times[/tex] 23
2) 132 [tex]\div[/tex] 168
3) 17.3 [tex]\times[/tex] 18.4
4) 999 [tex]\div[/tex] 208
5) 998 [tex]\times[/tex] 211
Here, we need to find the rounded off numbers.
35 can be rounded to 40 and 23 to 20.
Therefore, equivalent to 35 [tex]\times[/tex] 23 is 40 [tex]\times[/tex] 20
132 can be rounded to 130 and 168 to 170.
Therefore, equivalent to 132 [tex]\div[/tex] 168 is 130 [tex]\div[/tex] 170.
17.3 can be rounded to 17.0 and 18.4 to 18.0.
Therefore, equivalent to 17.3 [tex]\times[/tex] 18.4 is 17.0 [tex]\times[/tex] 18.0.
999 can be rounded to 1000 and 208 to 210.
Therefore, equivalent to 999 [tex]\div[/tex] 208 is 1000 [tex]\div[/tex] 210.
998 can be rounded to 1000 and 211 to 210.
Therefore, equivalent to 998 [tex]\times[/tex] 211 is 1000 [tex]\times[/tex] 210.
The solution can be found in the attached image as well.
On Saturday the farmer planted 10 rows of tomato plants with p plants in each row on Sunday the farmer planted 6 rows of pepper plants with p plants in each row. Which expression gives the total number of plants the farmer planted this weekend?
Answer:
Step-by-step explanation:
40
PLEASE ANSWER QUICKLY
Answer:
C. 5
Step-by-step explanation:
6=-3x+21
6=-3(5)+21
6=-15+21
6
Find the value of x.
Answer:
x=34 degrees
Step-by-step explanation:
since angle TSU=4x then angle RSP=4x
4x-3x=x
angle PSQ=x
angle PQS=112 degrees (180-68=112)
triangle PSQ angles are x+x+112=180
2x-68
x=34 degrees
Which expression is equivalent to 4/9 times 7
Answer:
4/9 * 7 =3.11111111
Step-by-step explanation:
4/9 * 7 =3.11111111
Answer:
7 times 4/9
Step-by-step explanation:
Its simple lol
3) 5.6 x 7.3
Use the expression to answer Rewrite the expression above using two whole numbers.
able
10. Find the rate of change in the table below.
Show all work.
Х
18
20
22
24
4.5
у
5
5.5
6
Answer:
1/4
Step-by-step explanation:
.5/2=.25=1/4
Find the missing side length. WILL GIVE BRAINLIEST
Answer:
13.318
Step-by-step explanation:
i would go into all the work, but my hands will hurt from typing. Hope this helps
can somebody please help me with this and explain it?
Answer:
7. No, because the x-value 11 has two y-values pair with it.
8. Not a function
Step-by-step explanation:
If there is more than one y-values per x-value then it is not considered a function, same with Question 8.
Are the triangles similar?
1.These triangles are not similar.
2.These triangles are similar by AA.
3.These triangles are similar by SAS.
4.These triangles are similar by SSS.
Answer:
Yes, the triangles are SIMILAR, not exact.
Step-by-step explanation:
None.
Answer:
yes
no
no
yes
Step-by-step explanation:
The octahedron can be constructed from the repetitive folding of ___.
A. equilateral triangles
B. squares
C. regular pentagons
D. triangles
Answer:
Triangles
Step-by-step explanation:
hotgsosbsga aksnsusgsv
Answer:
A. EquilateralTriangles BRAINLIEST PLS
Step-by-step explanation:
Pls help extra points
Answer:
9^7
Step-by-step explanation:
9 x 9 x 9 x 9 x 9 x 9 x 9 = 9^7
The "^" symbol means the number behind it is an exponent btw!
A) options: liters, millileters
B)Options: millimeters centimeters meters kilometers
C) options grams, kilograms
express 28x-35y=-7,inthe form ax+by+c=0and find the value of a,b,&c
Answer:
a = 28, b = -35 and c =7
Step-by-step explanation:
Given expression is :
28x-35y=-7
We need to express it in the form of ax+by+c=0 and then find the value of a,b and .
Adding 7 to both sides.
28x-35y+7=-7+7
28x-35y+7=0
or
28x+(-35y) +7=0
It is in the form of ax+by+c=0.
On comparing,
a = 28, b = -35 and c =7
Jim picks 16 quarts of berries. He needs 2 1/4 quarts to make a batch of jam. If he saves 2 1/2 quarts of berries to eat how many batches of jam can Jim make?
solve the following equation: 7/8 = -7
Answer:
lets just say -8
Step-by-step explanation:
A
car travels 120 miles in 3 hours how far does the car travel in 1 hour
Answer:
200 miles
Step-by-step explanation:
Answer: i have no idea sorry
Step-by-step explanation: